Answer:
x=4.875
y=-0.25
Step-by-step explanation:
4x – 2y = 10
2x-y=10
y=2x-10
4x + 6y = 18
2x+3(2x-10)=9
8x=39
x=4.875
y=2(4.875)-10
y=-0.25
45 grams is about 1/4 cup of water or maybe 1/4 cup of flour or uncooked rice would be 45 grams. Anyway it's not much.
Unless the dresser is made of paper, 45 grams is not enough. 45 kg though large (that's roughly 100 pounds if that's what you think in), the dresser might be found in the apartment where Sherlock Holmes lives. (The dresser is a piece of victorian furniture) it is much closer to what a modern dresser would weigh.
Answer:
The shorter piece x = 8.4 in
The longer one y = 15.6 in
Step-by-step explanation:
If we cut a string length L in to unequal pieces we get two pieces
first one with length x and the other one with length y
Let call x the smaller piece, then y = L - x will be the longer one
If x = 35 % then
x = 0,35* L and
y = L - x = L - 0,35*L ⇒ y = 0,65 L ⇒ y = 0.65*24
Now if L = 24 in
x = 0,35*24 ⇒ x = 8.4 in
and
L - x = 0.65*L ⇒ L - x = 0.65*24 y = L - x = 15.6 in
as way of verification you can add the length of the two pieces and find:
8.4 + 15.6 = 24 in
Length×base×height
1.5×0.4×3
1.8 meter cube
Answer:
cot . (x- π/2)= - tanx
Step-by-step explanation:
cot . (x- π/2)= - tanx
cot .x - cot π/2= - tanx
cot π/2= 1/tanπ/2
But tan π/2= ∞
cot π/2 = 1/∞= 0
cotx - 0= - tanx
cot x = - tanx
cosx/sinx= - sinx/cosx Putting values of cot and tan
cosx/ sinx ( sinx/cos x) = -sinx/cos x (sinx/cos x )
Multiplying both sides with sinx/cos x
1= - sin²x/cos²x
cos²x= - sin²x as cosx = -sinx
